Approximate solution for an inverse problem of multidimensional elliptic equation with multipoint nonlocal and Neumann boundary conditions

dc.contributor.authorAshyralyyev, Charyyar
dc.contributor.authorAkyuz, Gulzipa
dc.contributor.authorDedeturk, Mutlu
dc.date.accessioned2022-06-10T17:10:17Z
dc.date.available2022-06-10T17:10:17Z
dc.date.issued2017-08-09
dc.description.abstractIn this work, we consider an inverse elliptic problem with Bitsadze-Samarskii type multipoint nonlocal and Neumann boundary conditions. We construct the first and second order of accuracy difference schemes (ADSs) for problem considered. We stablish stability and coercive stability estimates for solutions of these difference schemes. Also, we give numerical results for overdetermined elliptic problem with multipoint Bitsadze-Samarskii type nonlocal and Neumann boundary conditions in two and three dimensional test examples. Numerical results are carried out by MATLAB program and brief explanation on the realization of algorithm is given.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAshyralyyev, C., Akyuz, G., & Dedeturk, M. (2017). Approximate solution for an inverse problem of multidimensional elliptic equation with multipoint nonlocal and Neumann boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(197), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15891
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectDifference scheme
dc.subjectInverse elliptic problem
dc.subjectStability
dc.subjectOverdetermination
dc.subjectNonlocal problem
dc.titleApproximate solution for an inverse problem of multidimensional elliptic equation with multipoint nonlocal and Neumann boundary conditions
dc.typeArticle

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